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Finding the Fourth Proportional to 520.51, 780.29 and 195.65

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Solution

The fourth proportional to 520.51, 780.29 and 195.65 is: 293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.51 : 780.29 = 195.65 : x
  2. Step 2: Convert to fraction form
    520.51/780.29 = 195.65/x
  3. Step 3: Cross multiply
    520.51x = 780.29 × 195.65
  4. Step 4: Simplify right side
    520.51x = 152,659.84
  5. Step 5: Solve for x
    x = 152,659.84/520.51
  6. Step 6: Final answer
    x = 293.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.